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Finding the Fourth Proportional to 38,310.57, 52,856.28 and 23,198.40

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Solution

The fourth proportional to 38,310.57, 52,856.28 and 23,198.40 is: 32,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310.57 : 52,856.28 = 23,198.40 : x
  2. Step 2: Convert to fraction form
    38,310.57/52,856.28 = 23,198.40/x
  3. Step 3: Cross multiply
    38,310.57x = 52,856.28 × 23,198.40
  4. Step 4: Simplify right side
    38,310.57x = 1,226,181,125.95
  5. Step 5: Solve for x
    x = 1,226,181,125.95/38,310.57
  6. Step 6: Final answer
    x = 32,006.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.